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Finding the Fourth Proportional to 142.33, 196.46 and 123.32

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Solution

The fourth proportional to 142.33, 196.46 and 123.32 is: 170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.33 : 196.46 = 123.32 : x
  2. Step 2: Convert to fraction form
    142.33/196.46 = 123.32/x
  3. Step 3: Cross multiply
    142.33x = 196.46 × 123.32
  4. Step 4: Simplify right side
    142.33x = 24,227.45
  5. Step 5: Solve for x
    x = 24,227.45/142.33
  6. Step 6: Final answer
    x = 170.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.